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Popular >

2|3x-5|>= 4

Solution

2 ∣ 3 x - 5 ∣ \geq 4

Solution

x \leq 1 or x \geq \frac{7}{3}

+2

Interval Notation

(- \infty, 1] \cup [\frac{7}{3}, \infty)

Decimal Notation

x \leq 1 or x \geq 2.33333 \dots

Solution steps

2 ∣ 3 x - 5 ∣ \geq 4

Divide both sides by

2

∣ 3 x - 5 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 x - 5 \leq - 2 or 3 x - 5 \geq 2

3 x - 5 \leq - 2 or 3 x - 5 \geq 2

x \leq 1 or x \geq \frac{7}{3}

Popular Examples

∣ x ∣ = 2

factor-8m^2+8m-2 factor

- 8 m^{2} + 8 m - 2

simplify 2*(1/2)^1 simplify

2 \cdot (\frac{1}{2})^{1}

simplify (\sqrt[3]{48x^3y^2})/(\sqrt[3]{6x^4y)}simplify

4 - 5 y = - 1

Frequently Asked Questions (FAQ)

What is 2|3x-5|>= 4 ?
The solution to 2|3x-5|>= 4 is x<= 1\lor x>= 7/3